121288576960 has 112 divisors (see below), whose sum is σ = 291507574464. Its totient is φ = 48065159168.

The previous prime is 121288576957. The next prime is 121288576979. The reversal of 121288576960 is 69675882121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24416397 + ... + 24421363.

Almost surely, 2^121288576960 is an apocalyptic number.

121288576960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121288576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145753787232).

121288576960 is an abundant number, since it is smaller than the sum of its proper divisors (170218997504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121288576960 is a wasteful number, since it uses less digits than its factorization.

121288576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678 (or 5668 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 121288576960 in words is "one hundred twenty-one billion, two hundred eighty-eight million, five hundred seventy-six thousand, nine hundred sixty".